Efficient quadrature rules for numerical integration based on linear legendre multi-wavelets
In this work, generalize solution based on linear Legendre multi-wavelets are proposed for single, double and triple integrals with variable limits. To obtain the numerical approximations for integrals, an algorithm with the properties of linear Legendre multi-wavelets are applied. The main benefits...
| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IOP Publishing
2019
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/29803/ http://umpir.ump.edu.my/id/eprint/29803/1/Efficient%20quadrature%20rules%20for%20numerical%20integration%20based%20on%20linear.pdf |
| _version_ | 1848823366250659840 |
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| author | Nur Neesha, Alimin Ahmad Fadly, Nurullah Rasedee Mohammad Hasan, Abd Sathar Ahmedov, Anvarjon A. Muhammad Asyraf, Asbullah |
| author_facet | Nur Neesha, Alimin Ahmad Fadly, Nurullah Rasedee Mohammad Hasan, Abd Sathar Ahmedov, Anvarjon A. Muhammad Asyraf, Asbullah |
| author_sort | Nur Neesha, Alimin |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | In this work, generalize solution based on linear Legendre multi-wavelets are proposed for single, double and triple integrals with variable limits. To obtain the numerical approximations for integrals, an algorithm with the properties of linear Legendre multi-wavelets are applied. The main benefits of this method are its simple applicable and efficient. Furthermore, the error analysis for single, double and triple integrals is worked out to show the efficiency of the method. Numerical examples for the integrals are conducted by using linear Legendre multi-wavelets in order to validate the error estimation. |
| first_indexed | 2025-11-15T02:55:59Z |
| format | Conference or Workshop Item |
| id | ump-29803 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:55:59Z |
| publishDate | 2019 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-298032020-11-13T08:27:08Z http://umpir.ump.edu.my/id/eprint/29803/ Efficient quadrature rules for numerical integration based on linear legendre multi-wavelets Nur Neesha, Alimin Ahmad Fadly, Nurullah Rasedee Mohammad Hasan, Abd Sathar Ahmedov, Anvarjon A. Muhammad Asyraf, Asbullah QA Mathematics In this work, generalize solution based on linear Legendre multi-wavelets are proposed for single, double and triple integrals with variable limits. To obtain the numerical approximations for integrals, an algorithm with the properties of linear Legendre multi-wavelets are applied. The main benefits of this method are its simple applicable and efficient. Furthermore, the error analysis for single, double and triple integrals is worked out to show the efficiency of the method. Numerical examples for the integrals are conducted by using linear Legendre multi-wavelets in order to validate the error estimation. IOP Publishing 2019-11-07 Conference or Workshop Item PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/29803/1/Efficient%20quadrature%20rules%20for%20numerical%20integration%20based%20on%20linear.pdf Nur Neesha, Alimin and Ahmad Fadly, Nurullah Rasedee and Mohammad Hasan, Abd Sathar and Ahmedov, Anvarjon A. and Muhammad Asyraf, Asbullah (2019) Efficient quadrature rules for numerical integration based on linear legendre multi-wavelets. In: Journal of Physics: Conference Series, 2nd International Conference on Applied and Industrial Mathematics and Statistics (ICoAIMS 2019) , 23 - 25 July 2019 , The Zenith Hotel, Kuantan, Pahang. pp. 1-7., 1366 (012092). ISSN 1742-6588 (print); 1742-6596 (online) (Published) https://doi.org/10.1088/1742-6596/1366/1/012092 |
| spellingShingle | QA Mathematics Nur Neesha, Alimin Ahmad Fadly, Nurullah Rasedee Mohammad Hasan, Abd Sathar Ahmedov, Anvarjon A. Muhammad Asyraf, Asbullah Efficient quadrature rules for numerical integration based on linear legendre multi-wavelets |
| title | Efficient quadrature rules for numerical integration based on linear legendre multi-wavelets |
| title_full | Efficient quadrature rules for numerical integration based on linear legendre multi-wavelets |
| title_fullStr | Efficient quadrature rules for numerical integration based on linear legendre multi-wavelets |
| title_full_unstemmed | Efficient quadrature rules for numerical integration based on linear legendre multi-wavelets |
| title_short | Efficient quadrature rules for numerical integration based on linear legendre multi-wavelets |
| title_sort | efficient quadrature rules for numerical integration based on linear legendre multi-wavelets |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/29803/ http://umpir.ump.edu.my/id/eprint/29803/ http://umpir.ump.edu.my/id/eprint/29803/1/Efficient%20quadrature%20rules%20for%20numerical%20integration%20based%20on%20linear.pdf |